Question

Длина нерастянутой пружины 2.5 см под действием силы 5н удлинилась на 3см . какова длина пружины при нагрузке 0,7

Answer 1

Если нагрузка 0,7 - относительная величина , то и удлинение составит 0,7 * 3 = 2,1 см, длина пружины будет равна
2,5 + 2,1 = 4,6 см.

Answer 2

Можно решить пропорцией:
3 см⇒5 H
x см⇒0.7 Н
Найдём х:  х=0.7*3/5=0.42(см)-это удлинение пружины под действием силы 0.7 Н
Теперь найдём общую длину пружины при нагрузке 0.7 Н:  L=2.5+0.42=2.92(см)
Ответ:2.92 см

Answer 3

Calculation of the Length of the Spring

To calculate the length of the spring under a load of 0.7 N, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position.

According to the information provided, the length of the unstretched spring is 2.5 cm, and it elongates by 3 cm under a force of 5 N.

Let's denote the length of the spring under the load of 0.7 N as L.

Using Hooke's Law, we can set up the following equation:

F = k * x

Where: - F is the force applied to the spring (0.7 N) - k is the spring constant - x is the displacement of the spring from its equilibrium position (the change in length)

We can rearrange the equation to solve for the spring constant:

k = F / x

Substituting the given values:

k = 0.7 N / 3 cm

Now, we can use the spring constant to calculate the length of the spring under the load of 0.7 N:

L = L₀ + x

Where: - L₀ is the initial length of the spring (2.5 cm) - x is the displacement of the spring from its equilibrium position (the change in length)

Substituting the values:

L = 2.5 cm + x

Now, we need to find the value of x. We can use the equation F = k * x and rearrange it to solve for x:

x = F / k

Substituting the given values:

x = 0.7 N / (0.7 N / 3 cm)

Simplifying:

x = 3 cm

Now, we can substitute the value of x into the equation for L:

L = 2.5 cm + 3 cm

Simplifying:

L = 5.5 cm

Therefore, the length of the spring under a load of 0.7 N is 5.5 cm.